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R Squared Calculator

Calculate prediction R-squared, residual sum of squares and total sum of squares. Provide Actual numbers, Predicted numbers to compute results directly in your browser. Paired finite values of equal length,2..1000; R2=1-SSE/SST using the actual-value mean. Constant actual values are rejected; negative R2 is allowed. Not squared Pearson correlation. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate.

Use the stated format. Up to 100,000 UTF-16 code units; at most 1,000 records.

Use the stated format. Up to 100,000 UTF-16 code units; at most 1,000 records.

Your result
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Result will appear here

How the R Squared Calculator Works & Core Formula

The R Squared Calculator evaluates Actual numbers, Predicted numbers in client-side JavaScript using the deterministic rule below and updates the output panel immediately without uploading data to a server.

Calculate prediction R-squared, residual sum of squares and total sum of squares.

Paired finite values of equal length,2..1000; R2=1-SSE/SST using the actual-value mean. Constant actual values are rejected; negative R2 is allowed. Not squared Pearson correlation. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.

Concept diagram for R Squared Calculator, showing actual numbers input and the supported output.
Concept diagram; the three operation images are actual browser captures.

R Squared Calculator Quick Reference & Input Guide

Review the input parameters, allowed value ranges, and worked reference cases for the R Squared Calculator below before running your calculation.

Parameter / ScenarioDefault / Sample ValueRule or Allowed RangeOutput / Usage Note
Input: Actual numbers1,2,3Use the stated format. Up to 100,000 UTF-16 code units; at most 1,000 records.Required workspace parameter
Input: Predicted numbers1,2,2Use the stated format. Up to 100,000 UTF-16 code units; at most 1,000 records.Required workspace parameter
Worked Case 1: Baseline run (Actual numbers = 1,2,3)Preloaded / test valuesCalculate prediction R-squared, residual sum of squares and total sum of squaresActual numbers = 1,2,3; Predicted numbers = 1,2,2. The displayed output is R-squared: 0.5 Residual sum of squares : 1 Total sum of squares: 2.
Worked Case 2: Comparison scenario (r squared calculator online)Preloaded / test valuesCalculate prediction R-squared, residual sum of squares and total sum of squaresActual numbers = 1,2,3; Predicted numbers = 3,2,1. The displayed output is R-squared: -3 Residual sum of squares: 8 Total sum of squares: 2.

Step-by-Step Guide to Using the R Squared Calculator

Follow these three steps to configure Actual numbers, Predicted numbers, verify unit and boundary rules, and export your R Squared Calculator output.

Enter actual numbers

Enter actual numbers. Use the stated format. Up to 100,000 UTF-16 code units; at most 1,000 records.

Input and settings
R Squared Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Complete the other inputs

Set predicted numbers. Paired finite values of equal length,2..1000; R2=1-SSE/SST using the actual-value mean.

Tool result
R Squared Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Calculate and read the output

Select Calculate to see the prediction R-squared and sum-of-squares values. Copy result copies this text; Download saves it as a TXT file.

Review the details
R Squared Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Practical Worked Examples for R Squared Calculator

These concrete scenarios illustrate how the R Squared Calculator processes baseline inputs, comparison checks, and boundary constraints.

Baseline run (Actual numbers = 1,2,3)

Actual numbers = 1,2,3; Predicted numbers = 1,2,2. The displayed output is R-squared: 0.5 Residual sum of squares : 1 Total sum of squares: 2.

Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Comparison scenario (r squared calculator online)

Actual numbers = 1,2,3; Predicted numbers = 3,2,1. The displayed output is R-squared: -3 Residual sum of squares: 8 Total sum of squares: 2.

Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Boundary & unit check (R Squared Calculator)

When solving for 'r squared calculator', verify that Actual numbers, Predicted numbers use consistent units and stay within the documented scope: Paired finite values of equal length,2..1000; R2=1-SSE/SST using the actual-value mean. Constant actual values are rejected; negative R2 is allowed. Not squared Pearson correlation. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur.

A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to Read and Verify the R Squared Calculator Output

The output panel reports the exact result derived from Actual numbers, Predicted numbers alongside any unit or formatting notes.

The result is the prediction R-squared and sum-of-squares values. Compare predicted values with their paired observations.

Prediction R-squared may be negative and differs from squared Pearson correlation.

Numerical output shows up to 12 significant digits. Floating-point arithmetic and display rounding can affect the last digits.

Example input
Actual numbers = 1,2,3; Predicted numbers = 1,2,2
Example output
R-squared: 0.5 Residual sum of squares: 1 Total sum of squares: 2
A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Scope Limits, Accuracy Assumptions & Related Everyday Math Tools

Review these boundary constraints and validation rules before relying on the R Squared Calculator output.

Operational scope: Paired finite values of equal length,2..1000; R2=1-SSE/SST using the actual-value mean. Constant actual values are rejected; negative R2 is allowed. Not squared Pearson correlation. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Inputs that violate minimum/maximum bounds or required format rules are rejected with a clear diagnostic prompt.

Need an adjacent calculation in Everyday Math? Use the related tools linked below to chain your workflow without leaving your browser.

Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

Frequently Asked Questions About R Squared Calculator

Answers about using R Squared Calculator and understanding its results.

What formula or rule does the R Squared Calculator use?

The R Squared Calculator applies the rule: Calculate prediction R-squared, residual sum of squares and total sum of squares. Enter Actual numbers, Predicted numbers into the workspace and the tool computes the exact output in your browser.

What input parameters and units are required for R Squared Calculator?

Yes. Provide Actual numbers, Predicted numbers using the documented units and format shown in the quick reference table above. Preloaded default values let you test the workflow immediately.

What are the accuracy limits and boundary assumptions for R Squared Calculator?

Paired finite values of equal length,2..1000; R2=1-SSE/SST using the actual-value mean. Constant actual values are rejected; negative R2 is allowed. Not squared Pearson correlation. Inputs and results use floating-point numbers; output shows up to 12 significant digits. Rounding can occur. Confirm that your inputs fall within the allowed ranges before exporting the result.

Is the R Squared Calculator free and does it keep my inputs private?

Yes. All calculations for the R Squared Calculator execute 100% locally in your browser's JavaScript runtime. No inputs or results are uploaded to any external server.

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